Consider the following statements in respect of the polynomial a(b - c) (x - b) (x - c) + b(c - a) (x - c) (x - a) + c(a - b) (x - a) (x - b):
1. The coefficient of x2 is 0.
2. The coefficient of x is (a - b) (b - c) (c - a).
Which of the statements given above is/are correct ?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2